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2010060712 = 2311223137659
BaseRepresentation
bin111011111001111…
…0001011110101000
312012002021122221001
41313303301132220
513104033420322
6531242324344
7100545143212
oct16763613650
95162248831
102010060712
11941699400
124811b96b4
1326058a74a
14150d575b2
15bb6ed827
hex77cf17a8

2010060712 has 96 divisors (see below), whose sum is σ = 4360910400. Its totient is φ = 866243840.

The previous prime is 2010060707. The next prime is 2010060713. The reversal of 2010060712 is 2170600102.

It is a self number, because there is not a number n which added to its sum of digits gives 2010060712.

It is not an unprimeable number, because it can be changed into a prime (2010060713) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (19) of ones.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 3049839 + ... + 3050497.

It is an arithmetic number, because the mean of its divisors is an integer number (45426150).

Almost surely, 22010060712 is an apocalyptic number.

2010060712 is a gapful number since it is divisible by the number (22) formed by its first and last digit.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 2010060712, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (2180455200).

2010060712 is an abundant number, since it is smaller than the sum of its proper divisors (2350849688).

It is a pseudoperfect number, because it is the sum of a subset of its proper divisors.

2010060712 is a wasteful number, since it uses less digits than its factorization.

2010060712 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 847 (or 832 counting only the distinct ones).

The product of its (nonzero) digits is 168, while the sum is 19.

The square root of 2010060712 is about 44833.7006279874. The cubic root of 2010060712 is about 1262.0301344937.

Adding to 2010060712 its reverse (2170600102), we get a palindrome (4180660814).

The spelling of 2010060712 in words is "two billion, ten million, sixty thousand, seven hundred twelve".

Divisors: 1 2 4 8 11 22 23 44 46 88 92 121 137 184 242 253 274 484 506 548 659 968 1012 1096 1318 1507 2024 2636 2783 3014 3151 5272 5566 6028 6302 7249 11132 12056 12604 14498 15157 16577 22264 25208 28996 30314 33154 34661 57992 60628 66308 69322 79739 90283 121256 132616 138644 159478 166727 180566 277288 318956 333454 361132 381271 637912 666908 722264 762542 993113 1333816 1525084 1833997 1986226 2076509 3050168 3667994 3972452 4153018 7335988 7944904 8306036 10924243 14671976 16612072 21848486 22841599 43696972 45683198 87393944 91366396 182732792 251257589 502515178 1005030356 2010060712